基于最小二乘法拟合估计傅里叶望远镜的缺失分量

于树海; 王建立; 董磊; 刘欣悦; 王亮

doi:10.3788/OPE.20152301.0282

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基于最小二乘法拟合估计傅里叶望远镜的缺失分量

信息科学 | 更新时间：2020-08-13

- 基于最小二乘法拟合估计傅里叶望远镜的缺失分量
- Estimation of missing components of Fourier Telescopy based on least square fitting
- 光学精密工程 2015年23卷第1期页码：282-287
- 作者机构：
  
  1. 中国科学院长春光学精密机械与物理研究所,吉林长春,中国,130033
  2. 中国科学院大学北京,中国,100049
- 作者简介：
- 基金信息：
  
  国家863高技术研究发展计划资助项目(No.2012AAXXXX003)()
- DOI：10.3788/OPE.20152301.0282
  中图分类号： TH743
- 收稿日期：2013-08-16，
  
  修回日期：2013-09-29，
  
  纸质出版日期：2015-01-25
- 稿件说明：
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于树海, 王建立, 董磊等. 基于最小二乘法拟合估计傅里叶望远镜的缺失分量[J]. 光学精密工程, 2015,23(1): 282-287

YU Shu-hai, WANG Jian-li, DONG Lei etc. Estimation of missing components of Fourier Telescopy based on least square fitting[J]. Editorial Office of Optics and Precision Engineering, 2015,23(1): 282-287
于树海, 王建立, 董磊等. 基于最小二乘法拟合估计傅里叶望远镜的缺失分量[J]. 光学精密工程, 2015,23(1): 282-287 DOI： 10.3788/OPE.20152301.0282.

YU Shu-hai, WANG Jian-li, DONG Lei etc. Estimation of missing components of Fourier Telescopy based on least square fitting[J]. Editorial Office of Optics and Precision Engineering, 2015,23(1): 282-287 DOI： 10.3788/OPE.20152301.0282.

摘要

为了采用非均匀发射阵列的傅里叶望远镜清晰重构深空目标图像

提出了一种基于最小二乘法拟合缺失傅里叶分量的新方法.首先采用T型非均匀发射阵列作为傅里叶望远镜的激光发射系统

并对返回的时域信号进行直流滤波;然后

基于傅里叶望远镜的基本原理对信号进行解调并通过相位闭合得到三重积.采用最小二乘法对没有抽取的傅里叶分量进行拟合估计

作为连乘恢复单一傅里叶分量信息的基础;最后

进行非均匀傅里叶逆变换重构目标图像.在不同信噪比条件下对4个目标进行了数值模拟

并与简单估算方法进行了对比.结果显示:信噪比(SNR)为200 db

采用7阶最小二乘法拟合估计时

重构图像细节分辨更为清晰

其斯特里尔比(Strehl)比衍射极限图像的斯特里尔比(Strehl)最高可提高0. 074 2

最低可提高0. 009 8.采用新方法对外场实验数据进行重构的结果表明:提出的方法克服了频谱偏差造成的重构图像失真

可为实际工程系统提供理论参考.

Abstract

To reconstruct the image of a deep space target by using non-uniform sparse launch array of a Fourier Telescopy(FT)

a new method based on the least square fitting was proposed to estimate the lack of Fourier component of the target. Firstly

the T-sparse emitter array of laser transmitter system was used as transmitter configuration of FT

and the returned time-domain signal was processed by a DC filter. According to the basic principle of FT

the signal was demodulated to obtain a triple product by the phase closure. The least square fitting method was used to estimate and fit the absent Fourier components and to take it for the information recovery basis. Finally

the image was reconstructed with inverse non-uniform Fourier transform. Four targets were simulated with different SNRs. As compared with the original method

the new method resolutes the details of targets and the Strehl Ratios are improved by a maximum value of 0.074 2 and the minimum value of 0.009 8 at a SNR of 200 db and seven rank fitting. Obtain data in a field experiment show that the new method overcomes the distortion of reconstructed image come from frequency spectral deviation and provides a reference for practical engineering.

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references

HOLMES R B, MA S, BHOWMIK A, et al.. Analysis and simulation of a synthetic-aperture technique for imaging through a turbulent medium [J].Optical Society of America,1996,13(2):351-364.

BRINKLEY T J, SANDLER D G. Effects of atmospheric turbulence and jitter on Fourier telescopy Imaging systems [J]. SPIE,1999,3815:42-47.

MACDONALD K R, BOGER J K, FETROW M, et al.. An experimental demonstration of Fourier telescopy [J]. SPIE Conference on Digital Image Recovery and Synthesis IV,1999,3815:23-29.

CUELLAR E L, STAPP J, COOPER J. Laboratory and field experimental demonstration of a Fourier telescopy imaging system [J].SPIE, 2005,5896(D): 1-14.

CUELLAR E L, COOPER J, MATHIS J, et al..Laboratory demonstration of a multiple beam Fourier telescopy imaging system [J].SPIE,2008, 7094(G): 1-12.

RHODES W T. Time-average Fourier telescopy: a scheme for high-resolution imaging through horizontal-path turbulence[J]. Applied Optics, 2012,51(4):A11-A16.

陈卫,黎全,王雁桂. 基于全相位谱分析的傅里叶望远术目标重构[J]. 光学学报,2010,30(12):3441-3446. CHEN W, LI Q, WANG Y G. Object reconstruction of fourier telescopy based on all phase spectrum analysis [J]. Acta Optica Sinica,2010, 30(12):3441-3446.

于树海,王建立,董磊,等. 基于全相位谱分析的傅里叶望远镜外场实验数据处理[J]. 光学精密工程,2012,20(10):2275-2282. YU SH H, WANG J L, DONG L, et al.. Field experiment data processing of Fourier telescopy based on all phase spectrum analysis [J].Opt. Precision Eng.,2012,20(10):2275-2282.

于树海,王建立,董磊,等. 非均匀采样的傅里叶望远镜数值模拟研究[J]. 光学学报,2013,33(8):0811001. YU SH H, WANG J L, DONG L, et al.. Numerical simulation of Fourier telescopy based on non-uniform sampling [J]. Acta Optica Sinica,2013,33(8):0811001.

于树海,王建立,董磊,等. 基于空域非均匀傅里叶变换的傅里叶望远镜[J]. 强激光与粒子束,2013,25(7),1661-1665. YU SH H, WANG J L, DONG L, et al.. Fourier telescopy based on spatial non-uniform Fourier transform [J].High Power Laser and Particle Beams, 2013,25(7),1661-1665.

刘欣悦,董磊,王建立. 稀疏采样傅里叶望远镜成像[J]. 光学精密工程,2010,18(3):521-527. LIU X Y, DONG L, WANG J L. Fourier telescopy imaging via sparse sampling [J].Opt. Precision Eng., 2010,18(3):521-527.

董磊,刘欣悦,林旭东,等. 傅里叶望远镜外场实验性能改进和结果分析[J]. 光学学报,2012,32(2):0201004. DONG L, LIU X Y, LIN X D, et al.. Improvement of performance and results analysis of field experiments of Fourier telescope [J]. Acta Optica Sinica, 2012,32(2):0201004.

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